Next, we use the slow variation property of the function \(g\) .
By Karamata representation theorem [1]}, for every fixed \(\delta >0\)  and
\(V>0\)  we have, for all \(\rho \)  small enough and all \(\ell \le 1\)
\(\frac{g(\ell \rho )}{g(\rho )} < (1+\delta ) \ell ^{-1/V}.\) 
